Finding the Third Proportional to 188,334 and 406,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,334 : 406,543.50 = 406,543.50 : x
2. Step 2: Convert to fraction form
   188,334/406,543.50 = 406,543.50/x
3. Step 3: Cross multiply
   188,334x = 406,543.50 × 406,543.50
4. Step 4: Simplify right side
   188,334x = 165,277,617,392.25
5. Step 5: Solve for x
   x = 165,277,617,392.25/188,334
6. Step 6: Final answer
   x = 877,577.16